100 Display Calculator Puzzle

Mind Teasers :
100 Display Calculator Puzzle

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Can you bring the number 100 on the calculator display screen with honoring three important rules:
Rule1: Memory keys are not allowed.
Rule2: It should be the basic calculator.
Rule3: Only three unique buttons are allowed.

Step 5 is invalid, because we are dividing by (x-y), and since x=y, we are thus dividing by 0. This is an invalid mathematical operation (division by 0), and so by not following basic mathematical rules

Four stupid friends meet each other after long time.They are so stupid that they start talking about their suits

* There were a total of eight suits, two in each color, black, brown, pink and white.
* Each friend owned two suits.
* No friend had two suits of the same color.
* Ganpat don't have a white suit.
* Harish don't have a black suit, but did have a brown one.
* One of the friends had a white suit and a pink suit and another friend had a brown suit and a pink suit.
* Manoj had a white suit.
* Tarun had a pink suit, but don't have a brown one.

We have arranged matchsticks in a manner that all the first row, second row, first column and third column contain 12 matchsticks each. Can you remove 4 matchsticks and rearrange all the remaining matchsticks that we are still left with 12 matchsticks in the first row, second row, first column and the third column.

In the given picture, you can find a few numbers. Now you have to fill each square of the grid in a manner that every row and every column contains the digits 1 to 6. Another thing to keep in mind is that the connected squares must have the same number in them.

A competitive exam was held in which five students took part namely Billy, Gerry, Clark, Peeta and Jonathan. In this exam, they had to answer five questions each out of which, three had multiple choices as a, b or c and two were simple true and false questions. The five of them gave different answers to the questions and the details are as given below.

Name 1 2 3 4 5

Gerry c b True True False

Billy c c True True True

Clark a c False True True

Peeta b a True True False

Jonathan a b True False True

None of the two students gave the same number of correct answers. Can you find out the correct answers to the question? Also, calculate the individual score of all the five guys.

It has been clearly stated that none of the two students gave same number of correct answers which leads us to two different possibilities of correct answers:
Either (1 + 2 +3 + 4 + 5 = 15) or (0 + 1 + 2 + 3 + 4 = 10) stands true.

Let us first assume with the maximum number of correct answers possible according to our data which are 15 (2+2+4+4+3). According to it, Billy must have given all correct answers as he was the only one who answered True for questions 3, 4 and 5. But in that case, Gerry and Clark must have given exactly three correct answers. Furthermore, Peeta and Jonathan must have given two correct answers. Therefore none of them got all the five correct answers which is wrong according to what we have analyzed.

Thus we move on to our next assumption according to which, the total number of correct answers are 10 (0+1+2+3+4). Now we must acknowledge that Questions 3 as well as Question 4 cannot be False as it will mean that the number of correct answers would not be 10. So the students giving wrong answers cannot be Gerry, Billy and Peeta.

Assume that Jonathan got all wrong, it will suggest that Gerry, Clark and Peeta each would have at least two correct answers. Then, Billy would have to be the person with only one correct answer and in that situation, the correct answers for questions 1 and 2 would be a and a respectively. Since that is not possible as then the total number of correct answers would be 1 (a) + 1 (a) + 1 (False) + 4 (True) + 2 (Flase) = 9.

Thus it must be Clark who has given all wrong answers. The correct answers are then b, a, True, False and False. Also, the scores are Clark (0), Billy (1), Gerry (2), Jonathan (3) and Peeta (4).

A couple had to take shelter in a hotel for they could not proceed their journey in the rain. Having nothing to do at all, they started playing cards. Suddenly there was a short circuit and the lights went off. The husband inverted the position of 15 cards in the deck (52 cards normal deck) and shuffled the deck.

Now he asked his wife to divide the deck into two different piles which may not be equal but both of them should have equal number of cards facing up. There was no source of light in the room and the wife was unable to see the cards.

For a certain amount of time, she thought and then divided the cards in two piles. To the husband’s astonishment, both of the piles had equal number of cards facing up.

The answer is very simple. All she had to do is take the fifteen cards from the top and reverse them. This would make another pile out of that and there will be two piles - one of 15 cards and one of 37 cards. Also both of them will have the same number of inverted cards.

Just think about it and if the mathematical explanation will help you understand better, here it is.
Assume that there were p inverted cards initially in the top 15 cards. Then the remaining 37 cards will hold 15-p inverted cards.
Now when she reverses the 15 cards on the top, the number of inverted cards will become 15-p and thus the number of inverted cards in both of the piles will become same.

You know three triplets: Eden Thorgan and Kylian.
Eden always tells the truth while Thorgan and Kylian always lie.
Kylian needs to return you 100$. You meet one of them on London streets and can ask him one three word question.

You can see five identical squares made with blue matchsticks in the given figure. You have to make them six identical squares instead. To do that, you are only allowed to move three matchsticks. How will you achieve the desired result?